2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.AG2005
The Local Nash problem on arc families of singularities
Shihoko Ishii
This paper shows the affirmative answer to the local Nash problem for a toric singularity and analytically pretoric singularity. As a corollary we obtain the affirmative answer to…
math.AG2004★ 2 cited
Arcs, valuations and the Nash map
Shihoko Ishii
This paper gives a map from the set of families of arcs on a variety to the set of valuations on the rational function field of the variety We characterize a family of arcs which c…
math.AG2003
The arc space of a toric variety
Shihoko Ishii
The Nash problem on arc families is affirmatively answered for a toric variety by Ishii and Kollar's paper which also shows the negative answer for general case. The Nash problem i…